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A297844 a(n) = Sum_{d|n} max(d, n/d)^5. 4
1, 64, 486, 2080, 6250, 16038, 33614, 67584, 118341, 206250, 322102, 515264, 742586, 1109262, 1525000, 2163712, 2839714, 3912786, 4952198, 6606250, 8201816, 10629366, 12872686, 16504000, 19534375, 24505338, 28815912, 35529998, 41022298, 50334302 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

FORMULA

a(n) + A297795(n) = 2*A001160(n).

MATHEMATICA

f[n_] := Block[{d = Divisors@ n}, Plus @@ (Max[#, n/#]^5 & /@ d)]; Array[f, 32] (* Robert G. Wilson v, Jan 07 2018 *)

PROG

(PARI) {a(n) = sumdiv(n, d, max(d, n/d)^5)}

CROSSREFS

Sum_{d|n} max(d, n/d)^k: A117003 (k=1), A297841 (k=2), A297842 (k=3), A297843 (k=4), this sequence (k=5).

Cf. A001160, A297795.

Sequence in context: A130812 A187518 A221070 * A233304 A016803 A066430

Adjacent sequences:  A297841 A297842 A297843 * A297845 A297846 A297847

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jan 07 2018

STATUS

approved

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Last modified May 13 23:41 EDT 2021. Contains 343868 sequences. (Running on oeis4.)